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Published online by Cambridge University Press: 01 August 2016
There are some surprising connections between properties of solid convex polyhedra and the “nets” which can be used to make their shapes. These connections may be used as a starting-point for some interesting classroom investigations to “spot the pattern” or “guess and test”.
For a convex polyhedron, such as the pyramid shown below on the left, Euler's relation says that
Vertices + Faces = Edges + 2